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Finding the Third Proportional to 290,479.50 and 633,528

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Solution

The third proportional to 290,479.50 and 633,528 is: 1,381,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,479.50 : 633,528 = 633,528 : x
  2. Step 2: Convert to fraction form
    290,479.50/633,528 = 633,528/x
  3. Step 3: Cross multiply
    290,479.50x = 633,528 × 633,528
  4. Step 4: Simplify right side
    290,479.50x = 401,357,726,784
  5. Step 5: Solve for x
    x = 401,357,726,784/290,479.50
  6. Step 6: Final answer
    x = 1,381,707.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.