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Finding the Third Proportional to 624,132 and 924,534

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Solution

The third proportional to 624,132 and 924,534 is: 1,369,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,132 : 924,534 = 924,534 : x
  2. Step 2: Convert to fraction form
    624,132/924,534 = 924,534/x
  3. Step 3: Cross multiply
    624,132x = 924,534 × 924,534
  4. Step 4: Simplify right side
    624,132x = 854,763,117,156
  5. Step 5: Solve for x
    x = 854,763,117,156/624,132
  6. Step 6: Final answer
    x = 1,369,522.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.