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Finding the Third Proportional to 758,360 and 1,145,604

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Solution

The third proportional to 758,360 and 1,145,604 is: 1,730,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,360 : 1,145,604 = 1,145,604 : x
  2. Step 2: Convert to fraction form
    758,360/1,145,604 = 1,145,604/x
  3. Step 3: Cross multiply
    758,360x = 1,145,604 × 1,145,604
  4. Step 4: Simplify right side
    758,360x = 1,312,408,524,816
  5. Step 5: Solve for x
    x = 1,312,408,524,816/758,360
  6. Step 6: Final answer
    x = 1,730,587.75

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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.