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Finding the Third Proportional to 713,480 and 978,363

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Solution

The third proportional to 713,480 and 978,363 is: 1,341,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,480 : 978,363 = 978,363 : x
  2. Step 2: Convert to fraction form
    713,480/978,363 = 978,363/x
  3. Step 3: Cross multiply
    713,480x = 978,363 × 978,363
  4. Step 4: Simplify right side
    713,480x = 957,194,159,769
  5. Step 5: Solve for x
    x = 957,194,159,769/713,480
  6. Step 6: Final answer
    x = 1,341,585.13

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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.