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Finding the Third Proportional to 463,404 and 716,386.50

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Solution

The third proportional to 463,404 and 716,386.50 is: 1,107,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,404 : 716,386.50 = 716,386.50 : x
  2. Step 2: Convert to fraction form
    463,404/716,386.50 = 716,386.50/x
  3. Step 3: Cross multiply
    463,404x = 716,386.50 × 716,386.50
  4. Step 4: Simplify right side
    463,404x = 513,209,617,382.25
  5. Step 5: Solve for x
    x = 513,209,617,382.25/463,404
  6. Step 6: Final answer
    x = 1,107,477.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.