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Finding the Third Proportional to 710,000.44 and 970,014.23

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Solution

The third proportional to 710,000.44 and 970,014.23 is: 1,325,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,000.44 : 970,014.23 = 970,014.23 : x
  2. Step 2: Convert to fraction form
    710,000.44/970,014.23 = 970,014.23/x
  3. Step 3: Cross multiply
    710,000.44x = 970,014.23 × 970,014.23
  4. Step 4: Simplify right side
    710,000.44x = 940,927,614,890.20
  5. Step 5: Solve for x
    x = 940,927,614,890.20/710,000.44
  6. Step 6: Final answer
    x = 1,325,249.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.