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Finding the Third Proportional to 356,818,617 and 502,486,834.50

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Solution

The third proportional to 356,818,617 and 502,486,834.50 is: 707,622,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,818,617 : 502,486,834.50 = 502,486,834.50 : x
  2. Step 2: Convert to fraction form
    356,818,617/502,486,834.50 = 502,486,834.50/x
  3. Step 3: Cross multiply
    356,818,617x = 502,486,834.50 × 502,486,834.50
  4. Step 4: Simplify right side
    356,818,617x = 252,493,018,845,830,400
  5. Step 5: Solve for x
    x = 252,493,018,845,830,400/356,818,617
  6. Step 6: Final answer
    x = 707,622,884.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.