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Finding the Third Proportional to 575,604 and 871,434

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Solution

The third proportional to 575,604 and 871,434 is: 1,319,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,604 : 871,434 = 871,434 : x
  2. Step 2: Convert to fraction form
    575,604/871,434 = 871,434/x
  3. Step 3: Cross multiply
    575,604x = 871,434 × 871,434
  4. Step 4: Simplify right side
    575,604x = 759,397,216,356
  5. Step 5: Solve for x
    x = 759,397,216,356/575,604
  6. Step 6: Final answer
    x = 1,319,304.97

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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.