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Finding the Third Proportional to 370,894 and 573,838

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Solution

The third proportional to 370,894 and 573,838 is: 887,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,894 : 573,838 = 573,838 : x
  2. Step 2: Convert to fraction form
    370,894/573,838 = 573,838/x
  3. Step 3: Cross multiply
    370,894x = 573,838 × 573,838
  4. Step 4: Simplify right side
    370,894x = 329,290,050,244
  5. Step 5: Solve for x
    x = 329,290,050,244/370,894
  6. Step 6: Final answer
    x = 887,827.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.