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Finding the Third Proportional to 296,316 and 470,715

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Solution

The third proportional to 296,316 and 470,715 is: 747,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,316 : 470,715 = 470,715 : x
  2. Step 2: Convert to fraction form
    296,316/470,715 = 470,715/x
  3. Step 3: Cross multiply
    296,316x = 470,715 × 470,715
  4. Step 4: Simplify right side
    296,316x = 221,572,611,225
  5. Step 5: Solve for x
    x = 221,572,611,225/296,316
  6. Step 6: Final answer
    x = 747,757.84

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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.