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Finding the Third Proportional to 282,071.53 and 615,583.13

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Solution

The third proportional to 282,071.53 and 615,583.13 is: 1,343,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,071.53 : 615,583.13 = 615,583.13 : x
  2. Step 2: Convert to fraction form
    282,071.53/615,583.13 = 615,583.13/x
  3. Step 3: Cross multiply
    282,071.53x = 615,583.13 × 615,583.13
  4. Step 4: Simplify right side
    282,071.53x = 378,942,583,784.77
  5. Step 5: Solve for x
    x = 378,942,583,784.77/282,071.53
  6. Step 6: Final answer
    x = 1,343,427.26

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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.