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Finding the Third Proportional to 458,082 and 713,297

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Solution

The third proportional to 458,082 and 713,297 is: 1,110,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,082 : 713,297 = 713,297 : x
  2. Step 2: Convert to fraction form
    458,082/713,297 = 713,297/x
  3. Step 3: Cross multiply
    458,082x = 713,297 × 713,297
  4. Step 4: Simplify right side
    458,082x = 508,792,610,209
  5. Step 5: Solve for x
    x = 508,792,610,209/458,082
  6. Step 6: Final answer
    x = 1,110,702.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.