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Finding the Third Proportional to 540,555 and 760,356

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Solution

The third proportional to 540,555 and 760,356 is: 1,069,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,555 : 760,356 = 760,356 : x
  2. Step 2: Convert to fraction form
    540,555/760,356 = 760,356/x
  3. Step 3: Cross multiply
    540,555x = 760,356 × 760,356
  4. Step 4: Simplify right side
    540,555x = 578,141,246,736
  5. Step 5: Solve for x
    x = 578,141,246,736/540,555
  6. Step 6: Final answer
    x = 1,069,532.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.