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Finding the Third Proportional to 586,483 and 890,294

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Solution

The third proportional to 586,483 and 890,294 is: 1,351,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,483 : 890,294 = 890,294 : x
  2. Step 2: Convert to fraction form
    586,483/890,294 = 890,294/x
  3. Step 3: Cross multiply
    586,483x = 890,294 × 890,294
  4. Step 4: Simplify right side
    586,483x = 792,623,406,436
  5. Step 5: Solve for x
    x = 792,623,406,436/586,483
  6. Step 6: Final answer
    x = 1,351,485.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.