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Finding the Third Proportional to 435,564 and 672,948

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Solution

The third proportional to 435,564 and 672,948 is: 1,039,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,564 : 672,948 = 672,948 : x
  2. Step 2: Convert to fraction form
    435,564/672,948 = 672,948/x
  3. Step 3: Cross multiply
    435,564x = 672,948 × 672,948
  4. Step 4: Simplify right side
    435,564x = 452,859,010,704
  5. Step 5: Solve for x
    x = 452,859,010,704/435,564
  6. Step 6: Final answer
    x = 1,039,707.16

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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.