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Finding the Third Proportional to 263,320.19 and 566,602.26

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Solution

The third proportional to 263,320.19 and 566,602.26 is: 1,219,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,320.19 : 566,602.26 = 566,602.26 : x
  2. Step 2: Convert to fraction form
    263,320.19/566,602.26 = 566,602.26/x
  3. Step 3: Cross multiply
    263,320.19x = 566,602.26 × 566,602.26
  4. Step 4: Simplify right side
    263,320.19x = 321,038,118,281.52
  5. Step 5: Solve for x
    x = 321,038,118,281.52/263,320.19
  6. Step 6: Final answer
    x = 1,219,192.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.