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Finding the Third Proportional to 416,202 and 895,567.50

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Solution

The third proportional to 416,202 and 895,567.50 is: 1,927,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,202 : 895,567.50 = 895,567.50 : x
  2. Step 2: Convert to fraction form
    416,202/895,567.50 = 895,567.50/x
  3. Step 3: Cross multiply
    416,202x = 895,567.50 × 895,567.50
  4. Step 4: Simplify right side
    416,202x = 802,041,147,056.25
  5. Step 5: Solve for x
    x = 802,041,147,056.25/416,202
  6. Step 6: Final answer
    x = 1,927,047.80

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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.