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Finding the Third Proportional to 301,246 and 652,082

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Solution

The third proportional to 301,246 and 652,082 is: 1,411,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,246 : 652,082 = 652,082 : x
  2. Step 2: Convert to fraction form
    301,246/652,082 = 652,082/x
  3. Step 3: Cross multiply
    301,246x = 652,082 × 652,082
  4. Step 4: Simplify right side
    301,246x = 425,210,934,724
  5. Step 5: Solve for x
    x = 425,210,934,724/301,246
  6. Step 6: Final answer
    x = 1,411,507.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.