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Finding the Third Proportional to 369,029 and 602,595

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Solution

The third proportional to 369,029 and 602,595 is: 983,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,029 : 602,595 = 602,595 : x
  2. Step 2: Convert to fraction form
    369,029/602,595 = 602,595/x
  3. Step 3: Cross multiply
    369,029x = 602,595 × 602,595
  4. Step 4: Simplify right side
    369,029x = 363,120,734,025
  5. Step 5: Solve for x
    x = 363,120,734,025/369,029
  6. Step 6: Final answer
    x = 983,989.70

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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.