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Finding the Third Proportional to 572,076 and 776,947.50

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Solution

The third proportional to 572,076 and 776,947.50 is: 1,055,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,076 : 776,947.50 = 776,947.50 : x
  2. Step 2: Convert to fraction form
    572,076/776,947.50 = 776,947.50/x
  3. Step 3: Cross multiply
    572,076x = 776,947.50 × 776,947.50
  4. Step 4: Simplify right side
    572,076x = 603,647,417,756.25
  5. Step 5: Solve for x
    x = 603,647,417,756.25/572,076
  6. Step 6: Final answer
    x = 1,055,187.45

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.