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Finding the Third Proportional to 233,690 and 506,746

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Solution

The third proportional to 233,690 and 506,746 is: 1,098,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,690 : 506,746 = 506,746 : x
  2. Step 2: Convert to fraction form
    233,690/506,746 = 506,746/x
  3. Step 3: Cross multiply
    233,690x = 506,746 × 506,746
  4. Step 4: Simplify right side
    233,690x = 256,791,508,516
  5. Step 5: Solve for x
    x = 256,791,508,516/233,690
  6. Step 6: Final answer
    x = 1,098,855.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.