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Finding the Third Proportional to 353,764 and 732,862

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Solution

The third proportional to 353,764 and 732,862 is: 1,518,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,764 : 732,862 = 732,862 : x
  2. Step 2: Convert to fraction form
    353,764/732,862 = 732,862/x
  3. Step 3: Cross multiply
    353,764x = 732,862 × 732,862
  4. Step 4: Simplify right side
    353,764x = 537,086,711,044
  5. Step 5: Solve for x
    x = 537,086,711,044/353,764
  6. Step 6: Final answer
    x = 1,518,206.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.