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Finding the Third Proportional to 292,258 and 450,699

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Solution

The third proportional to 292,258 and 450,699 is: 695,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,258 : 450,699 = 450,699 : x
  2. Step 2: Convert to fraction form
    292,258/450,699 = 450,699/x
  3. Step 3: Cross multiply
    292,258x = 450,699 × 450,699
  4. Step 4: Simplify right side
    292,258x = 203,129,588,601
  5. Step 5: Solve for x
    x = 203,129,588,601/292,258
  6. Step 6: Final answer
    x = 695,035.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.