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Finding the Third Proportional to 265,297 and 546,146

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Solution

The third proportional to 265,297 and 546,146 is: 1,124,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,297 : 546,146 = 546,146 : x
  2. Step 2: Convert to fraction form
    265,297/546,146 = 546,146/x
  3. Step 3: Cross multiply
    265,297x = 546,146 × 546,146
  4. Step 4: Simplify right side
    265,297x = 298,275,453,316
  5. Step 5: Solve for x
    x = 298,275,453,316/265,297
  6. Step 6: Final answer
    x = 1,124,307.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.