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Finding the Third Proportional to 369,553,117.50 and 572,022,877.50

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Solution

The third proportional to 369,553,117.50 and 572,022,877.50 is: 885,421,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,553,117.50 : 572,022,877.50 = 572,022,877.50 : x
  2. Step 2: Convert to fraction form
    369,553,117.50/572,022,877.50 = 572,022,877.50/x
  3. Step 3: Cross multiply
    369,553,117.50x = 572,022,877.50 × 572,022,877.50
  4. Step 4: Simplify right side
    369,553,117.50x = 327,210,172,383,380,032
  5. Step 5: Solve for x
    x = 327,210,172,383,380,032/369,553,117.50
  6. Step 6: Final answer
    x = 885,421,220.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.