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Finding the Third Proportional to 229,378.71 and 495,663.05

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Solution

The third proportional to 229,378.71 and 495,663.05 is: 1,071,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,378.71 : 495,663.05 = 495,663.05 : x
  2. Step 2: Convert to fraction form
    229,378.71/495,663.05 = 495,663.05/x
  3. Step 3: Cross multiply
    229,378.71x = 495,663.05 × 495,663.05
  4. Step 4: Simplify right side
    229,378.71x = 245,681,856,037.41
  5. Step 5: Solve for x
    x = 245,681,856,037.41/229,378.71
  6. Step 6: Final answer
    x = 1,071,075.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.