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Finding the Third Proportional to 265,649.63 and 573,280.88

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Solution

The third proportional to 265,649.63 and 573,280.88 is: 1,237,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,649.63 : 573,280.88 = 573,280.88 : x
  2. Step 2: Convert to fraction form
    265,649.63/573,280.88 = 573,280.88/x
  3. Step 3: Cross multiply
    265,649.63x = 573,280.88 × 573,280.88
  4. Step 4: Simplify right side
    265,649.63x = 328,650,961,640.77
  5. Step 5: Solve for x
    x = 328,650,961,640.77/265,649.63
  6. Step 6: Final answer
    x = 1,237,159.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.