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Finding the Third Proportional to 466,492 and 742,644

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Solution

The third proportional to 466,492 and 742,644 is: 1,182,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,492 : 742,644 = 742,644 : x
  2. Step 2: Convert to fraction form
    466,492/742,644 = 742,644/x
  3. Step 3: Cross multiply
    466,492x = 742,644 × 742,644
  4. Step 4: Simplify right side
    466,492x = 551,520,110,736
  5. Step 5: Solve for x
    x = 551,520,110,736/466,492
  6. Step 6: Final answer
    x = 1,182,271.32

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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.