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Finding the Third Proportional to 268,075.83 and 577,340.16

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Solution

The third proportional to 268,075.83 and 577,340.16 is: 1,243,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,075.83 : 577,340.16 = 577,340.16 : x
  2. Step 2: Convert to fraction form
    268,075.83/577,340.16 = 577,340.16/x
  3. Step 3: Cross multiply
    268,075.83x = 577,340.16 × 577,340.16
  4. Step 4: Simplify right side
    268,075.83x = 333,321,656,018.77
  5. Step 5: Solve for x
    x = 333,321,656,018.77/268,075.83
  6. Step 6: Final answer
    x = 1,243,385.72

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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.