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Finding the Third Proportional to 778,603.50 and 1,047,613.50

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Solution

The third proportional to 778,603.50 and 1,047,613.50 is: 1,409,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,603.50 : 1,047,613.50 = 1,047,613.50 : x
  2. Step 2: Convert to fraction form
    778,603.50/1,047,613.50 = 1,047,613.50/x
  3. Step 3: Cross multiply
    778,603.50x = 1,047,613.50 × 1,047,613.50
  4. Step 4: Simplify right side
    778,603.50x = 1,097,494,045,382.25
  5. Step 5: Solve for x
    x = 1,097,494,045,382.25/778,603.50
  6. Step 6: Final answer
    x = 1,409,567.32

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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.