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Finding the Third Proportional to 458,047 and 602,330

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Solution

The third proportional to 458,047 and 602,330 is: 792,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,047 : 602,330 = 602,330 : x
  2. Step 2: Convert to fraction form
    458,047/602,330 = 602,330/x
  3. Step 3: Cross multiply
    458,047x = 602,330 × 602,330
  4. Step 4: Simplify right side
    458,047x = 362,801,428,900
  5. Step 5: Solve for x
    x = 362,801,428,900/458,047
  6. Step 6: Final answer
    x = 792,061.58

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.