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Finding the Third Proportional to 446,202 and 869,987.50

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Solution

The third proportional to 446,202 and 869,987.50 is: 1,696,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,202 : 869,987.50 = 869,987.50 : x
  2. Step 2: Convert to fraction form
    446,202/869,987.50 = 869,987.50/x
  3. Step 3: Cross multiply
    446,202x = 869,987.50 × 869,987.50
  4. Step 4: Simplify right side
    446,202x = 756,878,250,156.25
  5. Step 5: Solve for x
    x = 756,878,250,156.25/446,202
  6. Step 6: Final answer
    x = 1,696,268.17

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.