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Finding the Third Proportional to 625,262 and 968,784

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Solution

The third proportional to 625,262 and 968,784 is: 1,501,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,262 : 968,784 = 968,784 : x
  2. Step 2: Convert to fraction form
    625,262/968,784 = 968,784/x
  3. Step 3: Cross multiply
    625,262x = 968,784 × 968,784
  4. Step 4: Simplify right side
    625,262x = 938,542,438,656
  5. Step 5: Solve for x
    x = 938,542,438,656/625,262
  6. Step 6: Final answer
    x = 1,501,038.67

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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.