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Finding the Third Proportional to 692,272.50 and 1,502,643

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Solution

The third proportional to 692,272.50 and 1,502,643 is: 3,261,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,272.50 : 1,502,643 = 1,502,643 : x
  2. Step 2: Convert to fraction form
    692,272.50/1,502,643 = 1,502,643/x
  3. Step 3: Cross multiply
    692,272.50x = 1,502,643 × 1,502,643
  4. Step 4: Simplify right side
    692,272.50x = 2,257,935,985,449
  5. Step 5: Solve for x
    x = 2,257,935,985,449/692,272.50
  6. Step 6: Final answer
    x = 3,261,628.89

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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.