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Finding the Third Proportional to 302,448 and 662,784

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Solution

The third proportional to 302,448 and 662,784 is: 1,452,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,448 : 662,784 = 662,784 : x
  2. Step 2: Convert to fraction form
    302,448/662,784 = 662,784/x
  3. Step 3: Cross multiply
    302,448x = 662,784 × 662,784
  4. Step 4: Simplify right side
    302,448x = 439,282,630,656
  5. Step 5: Solve for x
    x = 439,282,630,656/302,448
  6. Step 6: Final answer
    x = 1,452,423.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.