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Finding the Third Proportional to 485,068,332 and 745,592,709

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Solution

The third proportional to 485,068,332 and 745,592,709 is: 1,146,041,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,068,332 : 745,592,709 = 745,592,709 : x
  2. Step 2: Convert to fraction form
    485,068,332/745,592,709 = 745,592,709/x
  3. Step 3: Cross multiply
    485,068,332x = 745,592,709 × 745,592,709
  4. Step 4: Simplify right side
    485,068,332x = 555,908,487,713,958,656
  5. Step 5: Solve for x
    x = 555,908,487,713,958,656/485,068,332
  6. Step 6: Final answer
    x = 1,146,041,600.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.