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Finding the Third Proportional to 356,838 and 489,307.50

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Solution

The third proportional to 356,838 and 489,307.50 is: 670,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,838 : 489,307.50 = 489,307.50 : x
  2. Step 2: Convert to fraction form
    356,838/489,307.50 = 489,307.50/x
  3. Step 3: Cross multiply
    356,838x = 489,307.50 × 489,307.50
  4. Step 4: Simplify right side
    356,838x = 239,421,829,556.25
  5. Step 5: Solve for x
    x = 239,421,829,556.25/356,838
  6. Step 6: Final answer
    x = 670,953.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.