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Finding the Third Proportional to 237,714 and 522,076

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Solution

The third proportional to 237,714 and 522,076 is: 1,146,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,714 : 522,076 = 522,076 : x
  2. Step 2: Convert to fraction form
    237,714/522,076 = 522,076/x
  3. Step 3: Cross multiply
    237,714x = 522,076 × 522,076
  4. Step 4: Simplify right side
    237,714x = 272,563,349,776
  5. Step 5: Solve for x
    x = 272,563,349,776/237,714
  6. Step 6: Final answer
    x = 1,146,602.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.