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Finding the Third Proportional to 249,876 and 546,354

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Solution

The third proportional to 249,876 and 546,354 is: 1,194,603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,876 : 546,354 = 546,354 : x
  2. Step 2: Convert to fraction form
    249,876/546,354 = 546,354/x
  3. Step 3: Cross multiply
    249,876x = 546,354 × 546,354
  4. Step 4: Simplify right side
    249,876x = 298,502,693,316
  5. Step 5: Solve for x
    x = 298,502,693,316/249,876
  6. Step 6: Final answer
    x = 1,194,603.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.