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Finding the Third Proportional to 233,707 and 510,646

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Solution

The third proportional to 233,707 and 510,646 is: 1,115,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,707 : 510,646 = 510,646 : x
  2. Step 2: Convert to fraction form
    233,707/510,646 = 510,646/x
  3. Step 3: Cross multiply
    233,707x = 510,646 × 510,646
  4. Step 4: Simplify right side
    233,707x = 260,759,337,316
  5. Step 5: Solve for x
    x = 260,759,337,316/233,707
  6. Step 6: Final answer
    x = 1,115,753.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.