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Finding the Third Proportional to 406,341 and 608,040

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Solution

The third proportional to 406,341 and 608,040 is: 909,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,341 : 608,040 = 608,040 : x
  2. Step 2: Convert to fraction form
    406,341/608,040 = 608,040/x
  3. Step 3: Cross multiply
    406,341x = 608,040 × 608,040
  4. Step 4: Simplify right side
    406,341x = 369,712,641,600
  5. Step 5: Solve for x
    x = 369,712,641,600/406,341
  6. Step 6: Final answer
    x = 909,858.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.