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Finding the Third Proportional to 321,240 and 470,340

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Solution

The third proportional to 321,240 and 470,340 is: 688,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,240 : 470,340 = 470,340 : x
  2. Step 2: Convert to fraction form
    321,240/470,340 = 470,340/x
  3. Step 3: Cross multiply
    321,240x = 470,340 × 470,340
  4. Step 4: Simplify right side
    321,240x = 221,219,715,600
  5. Step 5: Solve for x
    x = 221,219,715,600/321,240
  6. Step 6: Final answer
    x = 688,643.12

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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.