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Finding the Third Proportional to 234,720 and 506,850

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Solution

The third proportional to 234,720 and 506,850 is: 1,094,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,720 : 506,850 = 506,850 : x
  2. Step 2: Convert to fraction form
    234,720/506,850 = 506,850/x
  3. Step 3: Cross multiply
    234,720x = 506,850 × 506,850
  4. Step 4: Simplify right side
    234,720x = 256,896,922,500
  5. Step 5: Solve for x
    x = 256,896,922,500/234,720
  6. Step 6: Final answer
    x = 1,094,482.46

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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.