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Finding the Third Proportional to 470,220 and 704,236

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Solution

The third proportional to 470,220 and 704,236 is: 1,054,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,220 : 704,236 = 704,236 : x
  2. Step 2: Convert to fraction form
    470,220/704,236 = 704,236/x
  3. Step 3: Cross multiply
    470,220x = 704,236 × 704,236
  4. Step 4: Simplify right side
    470,220x = 495,948,343,696
  5. Step 5: Solve for x
    x = 495,948,343,696/470,220
  6. Step 6: Final answer
    x = 1,054,715.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.