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Finding the Third Proportional to 560,727.56 and 1,316,434.78

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Solution

The third proportional to 560,727.56 and 1,316,434.78 is: 3,090,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,727.56 : 1,316,434.78 = 1,316,434.78 : x
  2. Step 2: Convert to fraction form
    560,727.56/1,316,434.78 = 1,316,434.78/x
  3. Step 3: Cross multiply
    560,727.56x = 1,316,434.78 × 1,316,434.78
  4. Step 4: Simplify right side
    560,727.56x = 1,733,000,533,284.74
  5. Step 5: Solve for x
    x = 1,733,000,533,284.74/560,727.56
  6. Step 6: Final answer
    x = 3,090,628.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.