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Finding the Third Proportional to 478,855 and 714,129.50

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Solution

The third proportional to 478,855 and 714,129.50 is: 1,065,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,855 : 714,129.50 = 714,129.50 : x
  2. Step 2: Convert to fraction form
    478,855/714,129.50 = 714,129.50/x
  3. Step 3: Cross multiply
    478,855x = 714,129.50 × 714,129.50
  4. Step 4: Simplify right side
    478,855x = 509,980,942,770.25
  5. Step 5: Solve for x
    x = 509,980,942,770.25/478,855
  6. Step 6: Final answer
    x = 1,065,000.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.