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Finding the Third Proportional to 292,207.50 and 702,027

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Solution

The third proportional to 292,207.50 and 702,027 is: 1,686,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,207.50 : 702,027 = 702,027 : x
  2. Step 2: Convert to fraction form
    292,207.50/702,027 = 702,027/x
  3. Step 3: Cross multiply
    292,207.50x = 702,027 × 702,027
  4. Step 4: Simplify right side
    292,207.50x = 492,841,908,729
  5. Step 5: Solve for x
    x = 492,841,908,729/292,207.50
  6. Step 6: Final answer
    x = 1,686,616.22

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.