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Finding the Third Proportional to 384,605 and 597,070

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Solution

The third proportional to 384,605 and 597,070 is: 926,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,605 : 597,070 = 597,070 : x
  2. Step 2: Convert to fraction form
    384,605/597,070 = 597,070/x
  3. Step 3: Cross multiply
    384,605x = 597,070 × 597,070
  4. Step 4: Simplify right side
    384,605x = 356,492,584,900
  5. Step 5: Solve for x
    x = 356,492,584,900/384,605
  6. Step 6: Final answer
    x = 926,905.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.