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Finding the Third Proportional to 284,256 and 390,528

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Solution

The third proportional to 284,256 and 390,528 is: 536,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,256 : 390,528 = 390,528 : x
  2. Step 2: Convert to fraction form
    284,256/390,528 = 390,528/x
  3. Step 3: Cross multiply
    284,256x = 390,528 × 390,528
  4. Step 4: Simplify right side
    284,256x = 152,512,118,784
  5. Step 5: Solve for x
    x = 152,512,118,784/284,256
  6. Step 6: Final answer
    x = 536,530.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.