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Finding the Third Proportional to 569,065.50 and 857,354.63

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Solution

The third proportional to 569,065.50 and 857,354.63 is: 1,291,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,065.50 : 857,354.63 = 857,354.63 : x
  2. Step 2: Convert to fraction form
    569,065.50/857,354.63 = 857,354.63/x
  3. Step 3: Cross multiply
    569,065.50x = 857,354.63 × 857,354.63
  4. Step 4: Simplify right side
    569,065.50x = 735,056,953,008.89
  5. Step 5: Solve for x
    x = 735,056,953,008.89/569,065.50
  6. Step 6: Final answer
    x = 1,291,691.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.