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Finding the Third Proportional to 466,289 and 720,037

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Solution

The third proportional to 466,289 and 720,037 is: 1,111,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,289 : 720,037 = 720,037 : x
  2. Step 2: Convert to fraction form
    466,289/720,037 = 720,037/x
  3. Step 3: Cross multiply
    466,289x = 720,037 × 720,037
  4. Step 4: Simplify right side
    466,289x = 518,453,281,369
  5. Step 5: Solve for x
    x = 518,453,281,369/466,289
  6. Step 6: Final answer
    x = 1,111,871.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.