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Finding the Third Proportional to 416,368 and 895,884.50

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Solution

The third proportional to 416,368 and 895,884.50 is: 1,927,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,368 : 895,884.50 = 895,884.50 : x
  2. Step 2: Convert to fraction form
    416,368/895,884.50 = 895,884.50/x
  3. Step 3: Cross multiply
    416,368x = 895,884.50 × 895,884.50
  4. Step 4: Simplify right side
    416,368x = 802,609,037,340.25
  5. Step 5: Solve for x
    x = 802,609,037,340.25/416,368
  6. Step 6: Final answer
    x = 1,927,643.42

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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.