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Finding the Third Proportional to 475,932 and 736,940

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Solution

The third proportional to 475,932 and 736,940 is: 1,141,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,932 : 736,940 = 736,940 : x
  2. Step 2: Convert to fraction form
    475,932/736,940 = 736,940/x
  3. Step 3: Cross multiply
    475,932x = 736,940 × 736,940
  4. Step 4: Simplify right side
    475,932x = 543,080,563,600
  5. Step 5: Solve for x
    x = 543,080,563,600/475,932
  6. Step 6: Final answer
    x = 1,141,088.57

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