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Finding the Third Proportional to 653,028.75 and 1,009,054.13

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Solution

The third proportional to 653,028.75 and 1,009,054.13 is: 1,559,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,028.75 : 1,009,054.13 = 1,009,054.13 : x
  2. Step 2: Convert to fraction form
    653,028.75/1,009,054.13 = 1,009,054.13/x
  3. Step 3: Cross multiply
    653,028.75x = 1,009,054.13 × 1,009,054.13
  4. Step 4: Simplify right side
    653,028.75x = 1,018,190,227,179.52
  5. Step 5: Solve for x
    x = 1,018,190,227,179.52/653,028.75
  6. Step 6: Final answer
    x = 1,559,181.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.