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Finding the Third Proportional to 369,023.34 and 602,586.84

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Solution

The third proportional to 369,023.34 and 602,586.84 is: 983,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,023.34 : 602,586.84 = 602,586.84 : x
  2. Step 2: Convert to fraction form
    369,023.34/602,586.84 = 602,586.84/x
  3. Step 3: Cross multiply
    369,023.34x = 602,586.84 × 602,586.84
  4. Step 4: Simplify right side
    369,023.34x = 363,110,904,260.59
  5. Step 5: Solve for x
    x = 363,110,904,260.59/369,023.34
  6. Step 6: Final answer
    x = 983,978.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.