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Finding the Third Proportional to 454,724 and 713,352

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Solution

The third proportional to 454,724 and 713,352 is: 1,119,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,724 : 713,352 = 713,352 : x
  2. Step 2: Convert to fraction form
    454,724/713,352 = 713,352/x
  3. Step 3: Cross multiply
    454,724x = 713,352 × 713,352
  4. Step 4: Simplify right side
    454,724x = 508,871,075,904
  5. Step 5: Solve for x
    x = 508,871,075,904/454,724
  6. Step 6: Final answer
    x = 1,119,076.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.