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Finding the Third Proportional to 677,068.50 and 1,051,756.50

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Solution

The third proportional to 677,068.50 and 1,051,756.50 is: 1,633,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,068.50 : 1,051,756.50 = 1,051,756.50 : x
  2. Step 2: Convert to fraction form
    677,068.50/1,051,756.50 = 1,051,756.50/x
  3. Step 3: Cross multiply
    677,068.50x = 1,051,756.50 × 1,051,756.50
  4. Step 4: Simplify right side
    677,068.50x = 1,106,191,735,292.25
  5. Step 5: Solve for x
    x = 1,106,191,735,292.25/677,068.50
  6. Step 6: Final answer
    x = 1,633,795.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.