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Finding the Third Proportional to 425,130 and 651,087

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Solution

The third proportional to 425,130 and 651,087 is: 997,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,130 : 651,087 = 651,087 : x
  2. Step 2: Convert to fraction form
    425,130/651,087 = 651,087/x
  3. Step 3: Cross multiply
    425,130x = 651,087 × 651,087
  4. Step 4: Simplify right side
    425,130x = 423,914,281,569
  5. Step 5: Solve for x
    x = 423,914,281,569/425,130
  6. Step 6: Final answer
    x = 997,140.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.