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Finding the Third Proportional to 565,893 and 883,284.19

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Solution

The third proportional to 565,893 and 883,284.19 is: 1,378,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,893 : 883,284.19 = 883,284.19 : x
  2. Step 2: Convert to fraction form
    565,893/883,284.19 = 883,284.19/x
  3. Step 3: Cross multiply
    565,893x = 883,284.19 × 883,284.19
  4. Step 4: Simplify right side
    565,893x = 780,190,955,887.54
  5. Step 5: Solve for x
    x = 780,190,955,887.54/565,893
  6. Step 6: Final answer
    x = 1,378,689.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.