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Finding the Third Proportional to 713,386 and 978,223

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Solution

The third proportional to 713,386 and 978,223 is: 1,341,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,386 : 978,223 = 978,223 : x
  2. Step 2: Convert to fraction form
    713,386/978,223 = 978,223/x
  3. Step 3: Cross multiply
    713,386x = 978,223 × 978,223
  4. Step 4: Simplify right side
    713,386x = 956,920,237,729
  5. Step 5: Solve for x
    x = 956,920,237,729/713,386
  6. Step 6: Final answer
    x = 1,341,377.93

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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.