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Finding the Third Proportional to 488,281.50 and 1,069,659

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Solution

The third proportional to 488,281.50 and 1,069,659 is: 2,343,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,281.50 : 1,069,659 = 1,069,659 : x
  2. Step 2: Convert to fraction form
    488,281.50/1,069,659 = 1,069,659/x
  3. Step 3: Cross multiply
    488,281.50x = 1,069,659 × 1,069,659
  4. Step 4: Simplify right side
    488,281.50x = 1,144,170,376,281
  5. Step 5: Solve for x
    x = 1,144,170,376,281/488,281.50
  6. Step 6: Final answer
    x = 2,343,259.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.