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Finding the Third Proportional to 560,580 and 840,048

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Solution

The third proportional to 560,580 and 840,048 is: 1,258,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,580 : 840,048 = 840,048 : x
  2. Step 2: Convert to fraction form
    560,580/840,048 = 840,048/x
  3. Step 3: Cross multiply
    560,580x = 840,048 × 840,048
  4. Step 4: Simplify right side
    560,580x = 705,680,642,304
  5. Step 5: Solve for x
    x = 705,680,642,304/560,580
  6. Step 6: Final answer
    x = 1,258,840.21

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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.