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Finding the Third Proportional to 302,853.94 and 448,426.13

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Solution

The third proportional to 302,853.94 and 448,426.13 is: 663,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,853.94 : 448,426.13 = 448,426.13 : x
  2. Step 2: Convert to fraction form
    302,853.94/448,426.13 = 448,426.13/x
  3. Step 3: Cross multiply
    302,853.94x = 448,426.13 × 448,426.13
  4. Step 4: Simplify right side
    302,853.94x = 201,085,989,582.52
  5. Step 5: Solve for x
    x = 201,085,989,582.52/302,853.94
  6. Step 6: Final answer
    x = 663,970.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.