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Finding the Third Proportional to 349,865 and 730,798

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Solution

The third proportional to 349,865 and 730,798 is: 1,526,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,865 : 730,798 = 730,798 : x
  2. Step 2: Convert to fraction form
    349,865/730,798 = 730,798/x
  3. Step 3: Cross multiply
    349,865x = 730,798 × 730,798
  4. Step 4: Simplify right side
    349,865x = 534,065,716,804
  5. Step 5: Solve for x
    x = 534,065,716,804/349,865
  6. Step 6: Final answer
    x = 1,526,490.84

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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.