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Finding the Third Proportional to 390,652.88 and 829,267.88

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Solution

The third proportional to 390,652.88 and 829,267.88 is: 1,760,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,652.88 : 829,267.88 = 829,267.88 : x
  2. Step 2: Convert to fraction form
    390,652.88/829,267.88 = 829,267.88/x
  3. Step 3: Cross multiply
    390,652.88x = 829,267.88 × 829,267.88
  4. Step 4: Simplify right side
    390,652.88x = 687,685,208,507.02
  5. Step 5: Solve for x
    x = 687,685,208,507.02/390,652.88
  6. Step 6: Final answer
    x = 1,760,348.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.