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Finding the Third Proportional to 296,310 and 470,709

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Solution

The third proportional to 296,310 and 470,709 is: 747,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,310 : 470,709 = 470,709 : x
  2. Step 2: Convert to fraction form
    296,310/470,709 = 470,709/x
  3. Step 3: Cross multiply
    296,310x = 470,709 × 470,709
  4. Step 4: Simplify right side
    296,310x = 221,566,962,681
  5. Step 5: Solve for x
    x = 221,566,962,681/296,310
  6. Step 6: Final answer
    x = 747,753.92

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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.