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Finding the Third Proportional to 702.47 and 1,011.94

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Solution

The third proportional to 702.47 and 1,011.94 is: 1,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.47 : 1,011.94 = 1,011.94 : x
  2. Step 2: Convert to fraction form
    702.47/1,011.94 = 1,011.94/x
  3. Step 3: Cross multiply
    702.47x = 1,011.94 × 1,011.94
  4. Step 4: Simplify right side
    702.47x = 1,024,017.50
  5. Step 5: Solve for x
    x = 1,024,017.50/702.47
  6. Step 6: Final answer
    x = 1,457.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.