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Finding the Third Proportional to 485,068,330 and 745,592,706

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Solution

The third proportional to 485,068,330 and 745,592,706 is: 1,146,041,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,068,330 : 745,592,706 = 745,592,706 : x
  2. Step 2: Convert to fraction form
    485,068,330/745,592,706 = 745,592,706/x
  3. Step 3: Cross multiply
    485,068,330x = 745,592,706 × 745,592,706
  4. Step 4: Simplify right side
    485,068,330x = 555,908,483,240,402,432
  5. Step 5: Solve for x
    x = 555,908,483,240,402,432/485,068,330
  6. Step 6: Final answer
    x = 1,146,041,596.33

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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.