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Finding the Third Proportional to 215,570 and 453,465

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Solution

The third proportional to 215,570 and 453,465 is: 953,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,570 : 453,465 = 453,465 : x
  2. Step 2: Convert to fraction form
    215,570/453,465 = 453,465/x
  3. Step 3: Cross multiply
    215,570x = 453,465 × 453,465
  4. Step 4: Simplify right side
    215,570x = 205,630,506,225
  5. Step 5: Solve for x
    x = 205,630,506,225/215,570
  6. Step 6: Final answer
    x = 953,892.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.