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Finding the Third Proportional to 408,971 and 624,528

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Solution

The third proportional to 408,971 and 624,528 is: 953,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,971 : 624,528 = 624,528 : x
  2. Step 2: Convert to fraction form
    408,971/624,528 = 624,528/x
  3. Step 3: Cross multiply
    408,971x = 624,528 × 624,528
  4. Step 4: Simplify right side
    408,971x = 390,035,222,784
  5. Step 5: Solve for x
    x = 390,035,222,784/408,971
  6. Step 6: Final answer
    x = 953,698.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.