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Finding the Third Proportional to 254,602.50 and 558,129

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Solution

The third proportional to 254,602.50 and 558,129 is: 1,223,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,602.50 : 558,129 = 558,129 : x
  2. Step 2: Convert to fraction form
    254,602.50/558,129 = 558,129/x
  3. Step 3: Cross multiply
    254,602.50x = 558,129 × 558,129
  4. Step 4: Simplify right side
    254,602.50x = 311,507,980,641
  5. Step 5: Solve for x
    x = 311,507,980,641/254,602.50
  6. Step 6: Final answer
    x = 1,223,507.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.