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Finding the Third Proportional to 485,538,762 and 709,874,648.50

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Solution

The third proportional to 485,538,762 and 709,874,648.50 is: 1,037,861,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,538,762 : 709,874,648.50 = 709,874,648.50 : x
  2. Step 2: Convert to fraction form
    485,538,762/709,874,648.50 = 709,874,648.50/x
  3. Step 3: Cross multiply
    485,538,762x = 709,874,648.50 × 709,874,648.50
  4. Step 4: Simplify right side
    485,538,762x = 503,922,016,582,998,528
  5. Step 5: Solve for x
    x = 503,922,016,582,998,528/485,538,762
  6. Step 6: Final answer
    x = 1,037,861,559.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.