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Finding the Third Proportional to 321,254 and 470,358

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Solution

The third proportional to 321,254 and 470,358 is: 688,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,254 : 470,358 = 470,358 : x
  2. Step 2: Convert to fraction form
    321,254/470,358 = 470,358/x
  3. Step 3: Cross multiply
    321,254x = 470,358 × 470,358
  4. Step 4: Simplify right side
    321,254x = 221,236,648,164
  5. Step 5: Solve for x
    x = 221,236,648,164/321,254
  6. Step 6: Final answer
    x = 688,665.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.