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Finding the Third Proportional to 411,196 and 656,154

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Solution

The third proportional to 411,196 and 656,154 is: 1,047,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,196 : 656,154 = 656,154 : x
  2. Step 2: Convert to fraction form
    411,196/656,154 = 656,154/x
  3. Step 3: Cross multiply
    411,196x = 656,154 × 656,154
  4. Step 4: Simplify right side
    411,196x = 430,538,071,716
  5. Step 5: Solve for x
    x = 430,538,071,716/411,196
  6. Step 6: Final answer
    x = 1,047,038.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.