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Finding the Third Proportional to 359,720 and 777,075.50

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Solution

The third proportional to 359,720 and 777,075.50 is: 1,678,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,720 : 777,075.50 = 777,075.50 : x
  2. Step 2: Convert to fraction form
    359,720/777,075.50 = 777,075.50/x
  3. Step 3: Cross multiply
    359,720x = 777,075.50 × 777,075.50
  4. Step 4: Simplify right side
    359,720x = 603,846,332,700.25
  5. Step 5: Solve for x
    x = 603,846,332,700.25/359,720
  6. Step 6: Final answer
    x = 1,678,656.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.