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Finding the Third Proportional to 435,146 and 675,196

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Solution

The third proportional to 435,146 and 675,196 is: 1,047,670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,146 : 675,196 = 675,196 : x
  2. Step 2: Convert to fraction form
    435,146/675,196 = 675,196/x
  3. Step 3: Cross multiply
    435,146x = 675,196 × 675,196
  4. Step 4: Simplify right side
    435,146x = 455,889,638,416
  5. Step 5: Solve for x
    x = 455,889,638,416/435,146
  6. Step 6: Final answer
    x = 1,047,670.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.