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Finding the Third Proportional to 560,430 and 846,486

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Solution

The third proportional to 560,430 and 846,486 is: 1,278,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,430 : 846,486 = 846,486 : x
  2. Step 2: Convert to fraction form
    560,430/846,486 = 846,486/x
  3. Step 3: Cross multiply
    560,430x = 846,486 × 846,486
  4. Step 4: Simplify right side
    560,430x = 716,538,548,196
  5. Step 5: Solve for x
    x = 716,538,548,196/560,430
  6. Step 6: Final answer
    x = 1,278,551.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.