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Finding the Third Proportional to 345,808 and 715,616

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Solution

The third proportional to 345,808 and 715,616 is: 1,480,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,808 : 715,616 = 715,616 : x
  2. Step 2: Convert to fraction form
    345,808/715,616 = 715,616/x
  3. Step 3: Cross multiply
    345,808x = 715,616 × 715,616
  4. Step 4: Simplify right side
    345,808x = 512,106,259,456
  5. Step 5: Solve for x
    x = 512,106,259,456/345,808
  6. Step 6: Final answer
    x = 1,480,897.66

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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.