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Finding the Third Proportional to 345,195 and 714,354

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Solution

The third proportional to 345,195 and 714,354 is: 1,478,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,195 : 714,354 = 714,354 : x
  2. Step 2: Convert to fraction form
    345,195/714,354 = 714,354/x
  3. Step 3: Cross multiply
    345,195x = 714,354 × 714,354
  4. Step 4: Simplify right side
    345,195x = 510,301,637,316
  5. Step 5: Solve for x
    x = 510,301,637,316/345,195
  6. Step 6: Final answer
    x = 1,478,299.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.