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Finding the Third Proportional to 369,495,493.50 and 516,577,335

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Solution

The third proportional to 369,495,493.50 and 516,577,335 is: 722,206,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,495,493.50 : 516,577,335 = 516,577,335 : x
  2. Step 2: Convert to fraction form
    369,495,493.50/516,577,335 = 516,577,335/x
  3. Step 3: Cross multiply
    369,495,493.50x = 516,577,335 × 516,577,335
  4. Step 4: Simplify right side
    369,495,493.50x = 266,852,143,035,702,240
  5. Step 5: Solve for x
    x = 266,852,143,035,702,240/369,495,493.50
  6. Step 6: Final answer
    x = 722,206,759.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.