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Finding the Third Proportional to 713,582 and 978,502

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Solution

The third proportional to 713,582 and 978,502 is: 1,341,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,582 : 978,502 = 978,502 : x
  2. Step 2: Convert to fraction form
    713,582/978,502 = 978,502/x
  3. Step 3: Cross multiply
    713,582x = 978,502 × 978,502
  4. Step 4: Simplify right side
    713,582x = 957,466,164,004
  5. Step 5: Solve for x
    x = 957,466,164,004/713,582
  6. Step 6: Final answer
    x = 1,341,774.55

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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.