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Finding the Third Proportional to 214,615 and 466,547

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Solution

The third proportional to 214,615 and 466,547 is: 1,014,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,615 : 466,547 = 466,547 : x
  2. Step 2: Convert to fraction form
    214,615/466,547 = 466,547/x
  3. Step 3: Cross multiply
    214,615x = 466,547 × 466,547
  4. Step 4: Simplify right side
    214,615x = 217,666,103,209
  5. Step 5: Solve for x
    x = 217,666,103,209/214,615
  6. Step 6: Final answer
    x = 1,014,216.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.