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Finding the Third Proportional to 385,490 and 593,265

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Solution

The third proportional to 385,490 and 593,265 is: 913,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,490 : 593,265 = 593,265 : x
  2. Step 2: Convert to fraction form
    385,490/593,265 = 593,265/x
  3. Step 3: Cross multiply
    385,490x = 593,265 × 593,265
  4. Step 4: Simplify right side
    385,490x = 351,963,360,225
  5. Step 5: Solve for x
    x = 351,963,360,225/385,490
  6. Step 6: Final answer
    x = 913,028.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.