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Finding the Third Proportional to 520,533.84 and 709,137.28

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Solution

The third proportional to 520,533.84 and 709,137.28 is: 966,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,533.84 : 709,137.28 = 709,137.28 : x
  2. Step 2: Convert to fraction form
    520,533.84/709,137.28 = 709,137.28/x
  3. Step 3: Cross multiply
    520,533.84x = 709,137.28 × 709,137.28
  4. Step 4: Simplify right side
    520,533.84x = 502,875,683,658.64
  5. Step 5: Solve for x
    x = 502,875,683,658.64/520,533.84
  6. Step 6: Final answer
    x = 966,076.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.