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Finding the Third Proportional to 369,031 and 602,598

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Solution

The third proportional to 369,031 and 602,598 is: 983,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,031 : 602,598 = 602,598 : x
  2. Step 2: Convert to fraction form
    369,031/602,598 = 602,598/x
  3. Step 3: Cross multiply
    369,031x = 602,598 × 602,598
  4. Step 4: Simplify right side
    369,031x = 363,124,349,604
  5. Step 5: Solve for x
    x = 363,124,349,604/369,031
  6. Step 6: Final answer
    x = 983,994.16

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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.