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Finding the Third Proportional to 553,437 and 846,216

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Solution

The third proportional to 553,437 and 846,216 is: 1,293,880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,437 : 846,216 = 846,216 : x
  2. Step 2: Convert to fraction form
    553,437/846,216 = 846,216/x
  3. Step 3: Cross multiply
    553,437x = 846,216 × 846,216
  4. Step 4: Simplify right side
    553,437x = 716,081,518,656
  5. Step 5: Solve for x
    x = 716,081,518,656/553,437
  6. Step 6: Final answer
    x = 1,293,880.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.