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Finding the Third Proportional to 379,970.16 and 592,959.23

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Solution

The third proportional to 379,970.16 and 592,959.23 is: 925,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,970.16 : 592,959.23 = 592,959.23 : x
  2. Step 2: Convert to fraction form
    379,970.16/592,959.23 = 592,959.23/x
  3. Step 3: Cross multiply
    379,970.16x = 592,959.23 × 592,959.23
  4. Step 4: Simplify right side
    379,970.16x = 351,600,653,630.59
  5. Step 5: Solve for x
    x = 351,600,653,630.59/379,970.16
  6. Step 6: Final answer
    x = 925,337.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.