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Finding the Third Proportional to 653,100 and 1,008,775.50

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Solution

The third proportional to 653,100 and 1,008,775.50 is: 1,558,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,100 : 1,008,775.50 = 1,008,775.50 : x
  2. Step 2: Convert to fraction form
    653,100/1,008,775.50 = 1,008,775.50/x
  3. Step 3: Cross multiply
    653,100x = 1,008,775.50 × 1,008,775.50
  4. Step 4: Simplify right side
    653,100x = 1,017,628,009,400.25
  5. Step 5: Solve for x
    x = 1,017,628,009,400.25/653,100
  6. Step 6: Final answer
    x = 1,558,150.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.