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Finding the Third Proportional to 233,432 and 370,560

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Solution

The third proportional to 233,432 and 370,560 is: 588,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,432 : 370,560 = 370,560 : x
  2. Step 2: Convert to fraction form
    233,432/370,560 = 370,560/x
  3. Step 3: Cross multiply
    233,432x = 370,560 × 370,560
  4. Step 4: Simplify right side
    233,432x = 137,314,713,600
  5. Step 5: Solve for x
    x = 137,314,713,600/233,432
  6. Step 6: Final answer
    x = 588,242.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.