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Finding the Third Proportional to 542,901 and 845,376

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Solution

The third proportional to 542,901 and 845,376 is: 1,316,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,901 : 845,376 = 845,376 : x
  2. Step 2: Convert to fraction form
    542,901/845,376 = 845,376/x
  3. Step 3: Cross multiply
    542,901x = 845,376 × 845,376
  4. Step 4: Simplify right side
    542,901x = 714,660,581,376
  5. Step 5: Solve for x
    x = 714,660,581,376/542,901
  6. Step 6: Final answer
    x = 1,316,373.67

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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.