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Finding the Third Proportional to 386,672 and 544,528

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Solution

The third proportional to 386,672 and 544,528 is: 766,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,672 : 544,528 = 544,528 : x
  2. Step 2: Convert to fraction form
    386,672/544,528 = 544,528/x
  3. Step 3: Cross multiply
    386,672x = 544,528 × 544,528
  4. Step 4: Simplify right side
    386,672x = 296,510,742,784
  5. Step 5: Solve for x
    x = 296,510,742,784/386,672
  6. Step 6: Final answer
    x = 766,827.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.