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Finding the Third Proportional to 492,988 and 779,952

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Solution

The third proportional to 492,988 and 779,952 is: 1,233,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,988 : 779,952 = 779,952 : x
  2. Step 2: Convert to fraction form
    492,988/779,952 = 779,952/x
  3. Step 3: Cross multiply
    492,988x = 779,952 × 779,952
  4. Step 4: Simplify right side
    492,988x = 608,325,122,304
  5. Step 5: Solve for x
    x = 608,325,122,304/492,988
  6. Step 6: Final answer
    x = 1,233,955.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.