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Finding the Third Proportional to 567,300 and 839,748

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Solution

The third proportional to 567,300 and 839,748 is: 1,243,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,300 : 839,748 = 839,748 : x
  2. Step 2: Convert to fraction form
    567,300/839,748 = 839,748/x
  3. Step 3: Cross multiply
    567,300x = 839,748 × 839,748
  4. Step 4: Simplify right side
    567,300x = 705,176,703,504
  5. Step 5: Solve for x
    x = 705,176,703,504/567,300
  6. Step 6: Final answer
    x = 1,243,040.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.