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Finding the Third Proportional to 325,792 and 707,260

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Solution

The third proportional to 325,792 and 707,260 is: 1,535,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,792 : 707,260 = 707,260 : x
  2. Step 2: Convert to fraction form
    325,792/707,260 = 707,260/x
  3. Step 3: Cross multiply
    325,792x = 707,260 × 707,260
  4. Step 4: Simplify right side
    325,792x = 500,216,707,600
  5. Step 5: Solve for x
    x = 500,216,707,600/325,792
  6. Step 6: Final answer
    x = 1,535,386.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.