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Finding the Third Proportional to 368,352 and 769,428

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Solution

The third proportional to 368,352 and 769,428 is: 1,607,211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,352 : 769,428 = 769,428 : x
  2. Step 2: Convert to fraction form
    368,352/769,428 = 769,428/x
  3. Step 3: Cross multiply
    368,352x = 769,428 × 769,428
  4. Step 4: Simplify right side
    368,352x = 592,019,447,184
  5. Step 5: Solve for x
    x = 592,019,447,184/368,352
  6. Step 6: Final answer
    x = 1,607,211.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.