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Finding the Third Proportional to 355,209.50 and 778,532

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Solution

The third proportional to 355,209.50 and 778,532 is: 1,706,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,209.50 : 778,532 = 778,532 : x
  2. Step 2: Convert to fraction form
    355,209.50/778,532 = 778,532/x
  3. Step 3: Cross multiply
    355,209.50x = 778,532 × 778,532
  4. Step 4: Simplify right side
    355,209.50x = 606,112,075,024
  5. Step 5: Solve for x
    x = 606,112,075,024/355,209.50
  6. Step 6: Final answer
    x = 1,706,350.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.