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Finding the Third Proportional to 242,404 and 566,157

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Solution

The third proportional to 242,404 and 566,157 is: 1,322,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,404 : 566,157 = 566,157 : x
  2. Step 2: Convert to fraction form
    242,404/566,157 = 566,157/x
  3. Step 3: Cross multiply
    242,404x = 566,157 × 566,157
  4. Step 4: Simplify right side
    242,404x = 320,533,748,649
  5. Step 5: Solve for x
    x = 320,533,748,649/242,404
  6. Step 6: Final answer
    x = 1,322,312.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.