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Finding the Third Proportional to 472,641 and 709,307

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Solution

The third proportional to 472,641 and 709,307 is: 1,064,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,641 : 709,307 = 709,307 : x
  2. Step 2: Convert to fraction form
    472,641/709,307 = 709,307/x
  3. Step 3: Cross multiply
    472,641x = 709,307 × 709,307
  4. Step 4: Simplify right side
    472,641x = 503,116,420,249
  5. Step 5: Solve for x
    x = 503,116,420,249/472,641
  6. Step 6: Final answer
    x = 1,064,479.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.