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Finding the Third Proportional to 464,212 and 626,329.50

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Solution

The third proportional to 464,212 and 626,329.50 is: 845,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,212 : 626,329.50 = 626,329.50 : x
  2. Step 2: Convert to fraction form
    464,212/626,329.50 = 626,329.50/x
  3. Step 3: Cross multiply
    464,212x = 626,329.50 × 626,329.50
  4. Step 4: Simplify right side
    464,212x = 392,288,642,570.25
  5. Step 5: Solve for x
    x = 392,288,642,570.25/464,212
  6. Step 6: Final answer
    x = 845,063.55

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