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Finding the Third Proportional to 290,988 and 636,084

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Solution

The third proportional to 290,988 and 636,084 is: 1,390,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,988 : 636,084 = 636,084 : x
  2. Step 2: Convert to fraction form
    290,988/636,084 = 636,084/x
  3. Step 3: Cross multiply
    290,988x = 636,084 × 636,084
  4. Step 4: Simplify right side
    290,988x = 404,602,855,056
  5. Step 5: Solve for x
    x = 404,602,855,056/290,988
  6. Step 6: Final answer
    x = 1,390,445.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.