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Finding the Third Proportional to 314,312.91 and 472,392

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Solution

The third proportional to 314,312.91 and 472,392 is: 709,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,312.91 : 472,392 = 472,392 : x
  2. Step 2: Convert to fraction form
    314,312.91/472,392 = 472,392/x
  3. Step 3: Cross multiply
    314,312.91x = 472,392 × 472,392
  4. Step 4: Simplify right side
    314,312.91x = 223,154,201,664
  5. Step 5: Solve for x
    x = 223,154,201,664/314,312.91
  6. Step 6: Final answer
    x = 709,974.67

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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.