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Finding the Third Proportional to 497,788,221 and 717,032,443.50

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Solution

The third proportional to 497,788,221 and 717,032,443.50 is: 1,032,839,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,788,221 : 717,032,443.50 = 717,032,443.50 : x
  2. Step 2: Convert to fraction form
    497,788,221/717,032,443.50 = 717,032,443.50/x
  3. Step 3: Cross multiply
    497,788,221x = 717,032,443.50 × 717,032,443.50
  4. Step 4: Simplify right side
    497,788,221x = 514,135,525,031,580,672
  5. Step 5: Solve for x
    x = 514,135,525,031,580,672/497,788,221
  6. Step 6: Final answer
    x = 1,032,839,877.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.