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Finding the Third Proportional to 296,302.50 and 470,697.75

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Solution

The third proportional to 296,302.50 and 470,697.75 is: 747,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,302.50 : 470,697.75 = 470,697.75 : x
  2. Step 2: Convert to fraction form
    296,302.50/470,697.75 = 470,697.75/x
  3. Step 3: Cross multiply
    296,302.50x = 470,697.75 × 470,697.75
  4. Step 4: Simplify right side
    296,302.50x = 221,556,371,855.06
  5. Step 5: Solve for x
    x = 221,556,371,855.06/296,302.50
  6. Step 6: Final answer
    x = 747,737.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.