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Finding the Third Proportional to 569,421 and 857,857.50

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Solution

The third proportional to 569,421 and 857,857.50 is: 1,292,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,421 : 857,857.50 = 857,857.50 : x
  2. Step 2: Convert to fraction form
    569,421/857,857.50 = 857,857.50/x
  3. Step 3: Cross multiply
    569,421x = 857,857.50 × 857,857.50
  4. Step 4: Simplify right side
    569,421x = 735,919,490,306.25
  5. Step 5: Solve for x
    x = 735,919,490,306.25/569,421
  6. Step 6: Final answer
    x = 1,292,399.63

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