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Finding the Third Proportional to 576,477 and 849,811.50

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Solution

The third proportional to 576,477 and 849,811.50 is: 1,252,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,477 : 849,811.50 = 849,811.50 : x
  2. Step 2: Convert to fraction form
    576,477/849,811.50 = 849,811.50/x
  3. Step 3: Cross multiply
    576,477x = 849,811.50 × 849,811.50
  4. Step 4: Simplify right side
    576,477x = 722,179,585,532.25
  5. Step 5: Solve for x
    x = 722,179,585,532.25/576,477
  6. Step 6: Final answer
    x = 1,252,746.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.