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Finding the Third Proportional to 503,984 and 705,528

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Solution

The third proportional to 503,984 and 705,528 is: 987,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,984 : 705,528 = 705,528 : x
  2. Step 2: Convert to fraction form
    503,984/705,528 = 705,528/x
  3. Step 3: Cross multiply
    503,984x = 705,528 × 705,528
  4. Step 4: Simplify right side
    503,984x = 497,769,758,784
  5. Step 5: Solve for x
    x = 497,769,758,784/503,984
  6. Step 6: Final answer
    x = 987,669.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.