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Finding the Third Proportional to 444,205 and 687,070.50

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Solution

The third proportional to 444,205 and 687,070.50 is: 1,062,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,205 : 687,070.50 = 687,070.50 : x
  2. Step 2: Convert to fraction form
    444,205/687,070.50 = 687,070.50/x
  3. Step 3: Cross multiply
    444,205x = 687,070.50 × 687,070.50
  4. Step 4: Simplify right side
    444,205x = 472,065,871,970.25
  5. Step 5: Solve for x
    x = 472,065,871,970.25/444,205
  6. Step 6: Final answer
    x = 1,062,720.75

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