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Finding the Third Proportional to 468,643 and 709,538

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Solution

The third proportional to 468,643 and 709,538 is: 1,074,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,643 : 709,538 = 709,538 : x
  2. Step 2: Convert to fraction form
    468,643/709,538 = 709,538/x
  3. Step 3: Cross multiply
    468,643x = 709,538 × 709,538
  4. Step 4: Simplify right side
    468,643x = 503,444,173,444
  5. Step 5: Solve for x
    x = 503,444,173,444/468,643
  6. Step 6: Final answer
    x = 1,074,259.45

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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.