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Finding the Third Proportional to 758,225 and 1,140,416

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Solution

The third proportional to 758,225 and 1,140,416 is: 1,715,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,225 : 1,140,416 = 1,140,416 : x
  2. Step 2: Convert to fraction form
    758,225/1,140,416 = 1,140,416/x
  3. Step 3: Cross multiply
    758,225x = 1,140,416 × 1,140,416
  4. Step 4: Simplify right side
    758,225x = 1,300,548,653,056
  5. Step 5: Solve for x
    x = 1,300,548,653,056/758,225
  6. Step 6: Final answer
    x = 1,715,254.25

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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.