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Finding the Third Proportional to 596,038.50 and 891,712.13

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Solution

The third proportional to 596,038.50 and 891,712.13 is: 1,334,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,038.50 : 891,712.13 = 891,712.13 : x
  2. Step 2: Convert to fraction form
    596,038.50/891,712.13 = 891,712.13/x
  3. Step 3: Cross multiply
    596,038.50x = 891,712.13 × 891,712.13
  4. Step 4: Simplify right side
    596,038.50x = 795,150,513,872.02
  5. Step 5: Solve for x
    x = 795,150,513,872.02/596,038.50
  6. Step 6: Final answer
    x = 1,334,058.98

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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.