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Finding the Third Proportional to 700,600 and 1,508,650

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Solution

The third proportional to 700,600 and 1,508,650 is: 3,248,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,600 : 1,508,650 = 1,508,650 : x
  2. Step 2: Convert to fraction form
    700,600/1,508,650 = 1,508,650/x
  3. Step 3: Cross multiply
    700,600x = 1,508,650 × 1,508,650
  4. Step 4: Simplify right side
    700,600x = 2,276,024,822,500
  5. Step 5: Solve for x
    x = 2,276,024,822,500/700,600
  6. Step 6: Final answer
    x = 3,248,679.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.