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Finding the Third Proportional to 411,932 and 604,534

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Solution

The third proportional to 411,932 and 604,534 is: 887,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,932 : 604,534 = 604,534 : x
  2. Step 2: Convert to fraction form
    411,932/604,534 = 604,534/x
  3. Step 3: Cross multiply
    411,932x = 604,534 × 604,534
  4. Step 4: Simplify right side
    411,932x = 365,461,357,156
  5. Step 5: Solve for x
    x = 365,461,357,156/411,932
  6. Step 6: Final answer
    x = 887,188.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.