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Finding the Third Proportional to 349,074 and 760,356

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Solution

The third proportional to 349,074 and 760,356 is: 1,656,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,074 : 760,356 = 760,356 : x
  2. Step 2: Convert to fraction form
    349,074/760,356 = 760,356/x
  3. Step 3: Cross multiply
    349,074x = 760,356 × 760,356
  4. Step 4: Simplify right side
    349,074x = 578,141,246,736
  5. Step 5: Solve for x
    x = 578,141,246,736/349,074
  6. Step 6: Final answer
    x = 1,656,214.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.