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Finding the Third Proportional to 410,289 and 602,121

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Solution

The third proportional to 410,289 and 602,121 is: 883,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,289 : 602,121 = 602,121 : x
  2. Step 2: Convert to fraction form
    410,289/602,121 = 602,121/x
  3. Step 3: Cross multiply
    410,289x = 602,121 × 602,121
  4. Step 4: Simplify right side
    410,289x = 362,549,698,641
  5. Step 5: Solve for x
    x = 362,549,698,641/410,289
  6. Step 6: Final answer
    x = 883,644.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.