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Finding the Third Proportional to 576,315 and 849,568.50

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Solution

The third proportional to 576,315 and 849,568.50 is: 1,252,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,315 : 849,568.50 = 849,568.50 : x
  2. Step 2: Convert to fraction form
    576,315/849,568.50 = 849,568.50/x
  3. Step 3: Cross multiply
    576,315x = 849,568.50 × 849,568.50
  4. Step 4: Simplify right side
    576,315x = 721,766,636,192.25
  5. Step 5: Solve for x
    x = 721,766,636,192.25/576,315
  6. Step 6: Final answer
    x = 1,252,382.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.