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Finding the Third Proportional to 497,664 and 670,464

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Solution

The third proportional to 497,664 and 670,464 is: 903,264

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664 : 670,464 = 670,464 : x
  2. Step 2: Convert to fraction form
    497,664/670,464 = 670,464/x
  3. Step 3: Cross multiply
    497,664x = 670,464 × 670,464
  4. Step 4: Simplify right side
    497,664x = 449,521,975,296
  5. Step 5: Solve for x
    x = 449,521,975,296/497,664
  6. Step 6: Final answer
    x = 903,264

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.