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Finding the Third Proportional to 465,070.50 and 697,599

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Solution

The third proportional to 465,070.50 and 697,599 is: 1,046,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,070.50 : 697,599 = 697,599 : x
  2. Step 2: Convert to fraction form
    465,070.50/697,599 = 697,599/x
  3. Step 3: Cross multiply
    465,070.50x = 697,599 × 697,599
  4. Step 4: Simplify right side
    465,070.50x = 486,644,364,801
  5. Step 5: Solve for x
    x = 486,644,364,801/465,070.50
  6. Step 6: Final answer
    x = 1,046,388.38

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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.