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Finding the Third Proportional to 238,605 and 514,572

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Solution

The third proportional to 238,605 and 514,572 is: 1,109,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,605 : 514,572 = 514,572 : x
  2. Step 2: Convert to fraction form
    238,605/514,572 = 514,572/x
  3. Step 3: Cross multiply
    238,605x = 514,572 × 514,572
  4. Step 4: Simplify right side
    238,605x = 264,784,343,184
  5. Step 5: Solve for x
    x = 264,784,343,184/238,605
  6. Step 6: Final answer
    x = 1,109,718.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.