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Finding the Third Proportional to 292,132.31 and 437,030.63

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Solution

The third proportional to 292,132.31 and 437,030.63 is: 653,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,132.31 : 437,030.63 = 437,030.63 : x
  2. Step 2: Convert to fraction form
    292,132.31/437,030.63 = 437,030.63/x
  3. Step 3: Cross multiply
    292,132.31x = 437,030.63 × 437,030.63
  4. Step 4: Simplify right side
    292,132.31x = 190,995,767,187.89
  5. Step 5: Solve for x
    x = 190,995,767,187.89/292,132.31
  6. Step 6: Final answer
    x = 653,798.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.