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Finding the Third Proportional to 475,764 and 737,808

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Solution

The third proportional to 475,764 and 737,808 is: 1,144,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,764 : 737,808 = 737,808 : x
  2. Step 2: Convert to fraction form
    475,764/737,808 = 737,808/x
  3. Step 3: Cross multiply
    475,764x = 737,808 × 737,808
  4. Step 4: Simplify right side
    475,764x = 544,360,644,864
  5. Step 5: Solve for x
    x = 544,360,644,864/475,764
  6. Step 6: Final answer
    x = 1,144,182.08

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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.