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Finding the Third Proportional to 487,684 and 696,044

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Solution

The third proportional to 487,684 and 696,044 is: 993,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,684 : 696,044 = 696,044 : x
  2. Step 2: Convert to fraction form
    487,684/696,044 = 696,044/x
  3. Step 3: Cross multiply
    487,684x = 696,044 × 696,044
  4. Step 4: Simplify right side
    487,684x = 484,477,249,936
  5. Step 5: Solve for x
    x = 484,477,249,936/487,684
  6. Step 6: Final answer
    x = 993,424.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.