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Finding the Third Proportional to 567,534 and 846,378

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Solution

The third proportional to 567,534 and 846,378 is: 1,262,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,534 : 846,378 = 846,378 : x
  2. Step 2: Convert to fraction form
    567,534/846,378 = 846,378/x
  3. Step 3: Cross multiply
    567,534x = 846,378 × 846,378
  4. Step 4: Simplify right side
    567,534x = 716,355,718,884
  5. Step 5: Solve for x
    x = 716,355,718,884/567,534
  6. Step 6: Final answer
    x = 1,262,225.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.