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Finding the Third Proportional to 498,038,439 and 744,312,697.50

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Solution

The third proportional to 498,038,439 and 744,312,697.50 is: 1,112,366,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,038,439 : 744,312,697.50 = 744,312,697.50 : x
  2. Step 2: Convert to fraction form
    498,038,439/744,312,697.50 = 744,312,697.50/x
  3. Step 3: Cross multiply
    498,038,439x = 744,312,697.50 × 744,312,697.50
  4. Step 4: Simplify right side
    498,038,439x = 554,001,391,659,726,528
  5. Step 5: Solve for x
    x = 554,001,391,659,726,528/498,038,439
  6. Step 6: Final answer
    x = 1,112,366,733.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.