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Finding the Third Proportional to 343,068 and 709,566

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Solution

The third proportional to 343,068 and 709,566 is: 1,467,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,068 : 709,566 = 709,566 : x
  2. Step 2: Convert to fraction form
    343,068/709,566 = 709,566/x
  3. Step 3: Cross multiply
    343,068x = 709,566 × 709,566
  4. Step 4: Simplify right side
    343,068x = 503,483,908,356
  5. Step 5: Solve for x
    x = 503,483,908,356/343,068
  6. Step 6: Final answer
    x = 1,467,592.16

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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.