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Finding the Third Proportional to 493,408 and 705,056

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Solution

The third proportional to 493,408 and 705,056 is: 1,007,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,408 : 705,056 = 705,056 : x
  2. Step 2: Convert to fraction form
    493,408/705,056 = 705,056/x
  3. Step 3: Cross multiply
    493,408x = 705,056 × 705,056
  4. Step 4: Simplify right side
    493,408x = 497,103,963,136
  5. Step 5: Solve for x
    x = 497,103,963,136/493,408
  6. Step 6: Final answer
    x = 1,007,490.68

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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.