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Finding the Third Proportional to 219,748 and 470,600

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Solution

The third proportional to 219,748 and 470,600 is: 1,007,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,748 : 470,600 = 470,600 : x
  2. Step 2: Convert to fraction form
    219,748/470,600 = 470,600/x
  3. Step 3: Cross multiply
    219,748x = 470,600 × 470,600
  4. Step 4: Simplify right side
    219,748x = 221,464,360,000
  5. Step 5: Solve for x
    x = 221,464,360,000/219,748
  6. Step 6: Final answer
    x = 1,007,810.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.