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Finding the Third Proportional to 340,664 and 716,604

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Solution

The third proportional to 340,664 and 716,604 is: 1,507,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,664 : 716,604 = 716,604 : x
  2. Step 2: Convert to fraction form
    340,664/716,604 = 716,604/x
  3. Step 3: Cross multiply
    340,664x = 716,604 × 716,604
  4. Step 4: Simplify right side
    340,664x = 513,521,292,816
  5. Step 5: Solve for x
    x = 513,521,292,816/340,664
  6. Step 6: Final answer
    x = 1,507,412.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.