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Finding the Third Proportional to 296,731.69 and 438,577.03

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Solution

The third proportional to 296,731.69 and 438,577.03 is: 648,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,731.69 : 438,577.03 = 438,577.03 : x
  2. Step 2: Convert to fraction form
    296,731.69/438,577.03 = 438,577.03/x
  3. Step 3: Cross multiply
    296,731.69x = 438,577.03 × 438,577.03
  4. Step 4: Simplify right side
    296,731.69x = 192,349,812,340.06
  5. Step 5: Solve for x
    x = 192,349,812,340.06/296,731.69
  6. Step 6: Final answer
    x = 648,228.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.