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Finding the Third Proportional to 392,941.13 and 592,488

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Solution

The third proportional to 392,941.13 and 592,488 is: 893,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,941.13 : 592,488 = 592,488 : x
  2. Step 2: Convert to fraction form
    392,941.13/592,488 = 592,488/x
  3. Step 3: Cross multiply
    392,941.13x = 592,488 × 592,488
  4. Step 4: Simplify right side
    392,941.13x = 351,042,030,144
  5. Step 5: Solve for x
    x = 351,042,030,144/392,941.13
  6. Step 6: Final answer
    x = 893,370.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.