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Finding the Third Proportional to 463,417.45 and 976,657.50

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Solution

The third proportional to 463,417.45 and 976,657.50 is: 2,058,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,417.45 : 976,657.50 = 976,657.50 : x
  2. Step 2: Convert to fraction form
    463,417.45/976,657.50 = 976,657.50/x
  3. Step 3: Cross multiply
    463,417.45x = 976,657.50 × 976,657.50
  4. Step 4: Simplify right side
    463,417.45x = 953,859,872,306.25
  5. Step 5: Solve for x
    x = 953,859,872,306.25/463,417.45
  6. Step 6: Final answer
    x = 2,058,316.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.