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Finding the Third Proportional to 310,662,837 and 482,363,278.88

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Solution

The third proportional to 310,662,837 and 482,363,278.88 is: 748,960,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,662,837 : 482,363,278.88 = 482,363,278.88 : x
  2. Step 2: Convert to fraction form
    310,662,837/482,363,278.88 = 482,363,278.88/x
  3. Step 3: Cross multiply
    310,662,837x = 482,363,278.88 × 482,363,278.88
  4. Step 4: Simplify right side
    310,662,837x = 232,674,332,807,041,024
  5. Step 5: Solve for x
    x = 232,674,332,807,041,024/310,662,837
  6. Step 6: Final answer
    x = 748,960,947.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.