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Finding the Third Proportional to 463,888 and 716,784

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Solution

The third proportional to 463,888 and 716,784 is: 1,107,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,888 : 716,784 = 716,784 : x
  2. Step 2: Convert to fraction form
    463,888/716,784 = 716,784/x
  3. Step 3: Cross multiply
    463,888x = 716,784 × 716,784
  4. Step 4: Simplify right side
    463,888x = 513,779,302,656
  5. Step 5: Solve for x
    x = 513,779,302,656/463,888
  6. Step 6: Final answer
    x = 1,107,550.32

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Why These Related Problems?

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