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Finding the Third Proportional to 287,787 and 450,465

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Solution

The third proportional to 287,787 and 450,465 is: 705,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,787 : 450,465 = 450,465 : x
  2. Step 2: Convert to fraction form
    287,787/450,465 = 450,465/x
  3. Step 3: Cross multiply
    287,787x = 450,465 × 450,465
  4. Step 4: Simplify right side
    287,787x = 202,918,716,225
  5. Step 5: Solve for x
    x = 202,918,716,225/287,787
  6. Step 6: Final answer
    x = 705,100.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.