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Finding the Third Proportional to 321,574 and 707,300

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Solution

The third proportional to 321,574 and 707,300 is: 1,555,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,574 : 707,300 = 707,300 : x
  2. Step 2: Convert to fraction form
    321,574/707,300 = 707,300/x
  3. Step 3: Cross multiply
    321,574x = 707,300 × 707,300
  4. Step 4: Simplify right side
    321,574x = 500,273,290,000
  5. Step 5: Solve for x
    x = 500,273,290,000/321,574
  6. Step 6: Final answer
    x = 1,555,701.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.