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Finding the Third Proportional to 572,084 and 776,963.50

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Solution

The third proportional to 572,084 and 776,963.50 is: 1,055,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,084 : 776,963.50 = 776,963.50 : x
  2. Step 2: Convert to fraction form
    572,084/776,963.50 = 776,963.50/x
  3. Step 3: Cross multiply
    572,084x = 776,963.50 × 776,963.50
  4. Step 4: Simplify right side
    572,084x = 603,672,280,332.25
  5. Step 5: Solve for x
    x = 603,672,280,332.25/572,084
  6. Step 6: Final answer
    x = 1,055,216.16

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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.