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Finding the Third Proportional to 434,412 and 636,090

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Solution

The third proportional to 434,412 and 636,090 is: 931,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,412 : 636,090 = 636,090 : x
  2. Step 2: Convert to fraction form
    434,412/636,090 = 636,090/x
  3. Step 3: Cross multiply
    434,412x = 636,090 × 636,090
  4. Step 4: Simplify right side
    434,412x = 404,610,488,100
  5. Step 5: Solve for x
    x = 404,610,488,100/434,412
  6. Step 6: Final answer
    x = 931,398.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.