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Finding the Third Proportional to 369,066 and 602,646

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Solution

The third proportional to 369,066 and 602,646 is: 984,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,066 : 602,646 = 602,646 : x
  2. Step 2: Convert to fraction form
    369,066/602,646 = 602,646/x
  3. Step 3: Cross multiply
    369,066x = 602,646 × 602,646
  4. Step 4: Simplify right side
    369,066x = 363,182,201,316
  5. Step 5: Solve for x
    x = 363,182,201,316/369,066
  6. Step 6: Final answer
    x = 984,057.60

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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.