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Finding the Third Proportional to 466,119 and 705,478.50

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Solution

The third proportional to 466,119 and 705,478.50 is: 1,067,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,119 : 705,478.50 = 705,478.50 : x
  2. Step 2: Convert to fraction form
    466,119/705,478.50 = 705,478.50/x
  3. Step 3: Cross multiply
    466,119x = 705,478.50 × 705,478.50
  4. Step 4: Simplify right side
    466,119x = 497,699,913,962.25
  5. Step 5: Solve for x
    x = 497,699,913,962.25/466,119
  6. Step 6: Final answer
    x = 1,067,752.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.