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Finding the Third Proportional to 576,963 and 846,715.50

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Solution

The third proportional to 576,963 and 846,715.50 is: 1,242,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,963 : 846,715.50 = 846,715.50 : x
  2. Step 2: Convert to fraction form
    576,963/846,715.50 = 846,715.50/x
  3. Step 3: Cross multiply
    576,963x = 846,715.50 × 846,715.50
  4. Step 4: Simplify right side
    576,963x = 716,927,137,940.25
  5. Step 5: Solve for x
    x = 716,927,137,940.25/576,963
  6. Step 6: Final answer
    x = 1,242,587.72

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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.