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Finding the Third Proportional to 385,806 and 846,315

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Solution

The third proportional to 385,806 and 846,315 is: 1,856,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,806 : 846,315 = 846,315 : x
  2. Step 2: Convert to fraction form
    385,806/846,315 = 846,315/x
  3. Step 3: Cross multiply
    385,806x = 846,315 × 846,315
  4. Step 4: Simplify right side
    385,806x = 716,249,079,225
  5. Step 5: Solve for x
    x = 716,249,079,225/385,806
  6. Step 6: Final answer
    x = 1,856,500.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.