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Finding the Third Proportional to 415,662 and 893,482.50

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Solution

The third proportional to 415,662 and 893,482.50 is: 1,920,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,662 : 893,482.50 = 893,482.50 : x
  2. Step 2: Convert to fraction form
    415,662/893,482.50 = 893,482.50/x
  3. Step 3: Cross multiply
    415,662x = 893,482.50 × 893,482.50
  4. Step 4: Simplify right side
    415,662x = 798,310,977,806.25
  5. Step 5: Solve for x
    x = 798,310,977,806.25/415,662
  6. Step 6: Final answer
    x = 1,920,577.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.