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Finding the Third Proportional to 282,159 and 615,726

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Solution

The third proportional to 282,159 and 615,726 is: 1,343,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,159 : 615,726 = 615,726 : x
  2. Step 2: Convert to fraction form
    282,159/615,726 = 615,726/x
  3. Step 3: Cross multiply
    282,159x = 615,726 × 615,726
  4. Step 4: Simplify right side
    282,159x = 379,118,507,076
  5. Step 5: Solve for x
    x = 379,118,507,076/282,159
  6. Step 6: Final answer
    x = 1,343,634.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.