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Finding the Third Proportional to 466,480 and 742,624

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Solution

The third proportional to 466,480 and 742,624 is: 1,182,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,480 : 742,624 = 742,624 : x
  2. Step 2: Convert to fraction form
    466,480/742,624 = 742,624/x
  3. Step 3: Cross multiply
    466,480x = 742,624 × 742,624
  4. Step 4: Simplify right side
    466,480x = 551,490,405,376
  5. Step 5: Solve for x
    x = 551,490,405,376/466,480
  6. Step 6: Final answer
    x = 1,182,238.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.