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Finding the Third Proportional to 219,008 and 470,752

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Solution

The third proportional to 219,008 and 470,752 is: 1,011,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,008 : 470,752 = 470,752 : x
  2. Step 2: Convert to fraction form
    219,008/470,752 = 470,752/x
  3. Step 3: Cross multiply
    219,008x = 470,752 × 470,752
  4. Step 4: Simplify right side
    219,008x = 221,607,445,504
  5. Step 5: Solve for x
    x = 221,607,445,504/219,008
  6. Step 6: Final answer
    x = 1,011,869.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.