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Finding the Third Proportional to 713,390 and 978,229

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Solution

The third proportional to 713,390 and 978,229 is: 1,341,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,390 : 978,229 = 978,229 : x
  2. Step 2: Convert to fraction form
    713,390/978,229 = 978,229/x
  3. Step 3: Cross multiply
    713,390x = 978,229 × 978,229
  4. Step 4: Simplify right side
    713,390x = 956,931,976,441
  5. Step 5: Solve for x
    x = 956,931,976,441/713,390
  6. Step 6: Final answer
    x = 1,341,386.87

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