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Finding the Third Proportional to 592,729.50 and 916,920

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Solution

The third proportional to 592,729.50 and 916,920 is: 1,418,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,729.50 : 916,920 = 916,920 : x
  2. Step 2: Convert to fraction form
    592,729.50/916,920 = 916,920/x
  3. Step 3: Cross multiply
    592,729.50x = 916,920 × 916,920
  4. Step 4: Simplify right side
    592,729.50x = 840,742,286,400
  5. Step 5: Solve for x
    x = 840,742,286,400/592,729.50
  6. Step 6: Final answer
    x = 1,418,424.91

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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.