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Finding the Third Proportional to 592,313 and 844,165.50

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Solution

The third proportional to 592,313 and 844,165.50 is: 1,203,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,313 : 844,165.50 = 844,165.50 : x
  2. Step 2: Convert to fraction form
    592,313/844,165.50 = 844,165.50/x
  3. Step 3: Cross multiply
    592,313x = 844,165.50 × 844,165.50
  4. Step 4: Simplify right side
    592,313x = 712,615,391,390.25
  5. Step 5: Solve for x
    x = 712,615,391,390.25/592,313
  6. Step 6: Final answer
    x = 1,203,106.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.