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Finding the Third Proportional to 630,176 and 968,624

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Solution

The third proportional to 630,176 and 968,624 is: 1,488,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,176 : 968,624 = 968,624 : x
  2. Step 2: Convert to fraction form
    630,176/968,624 = 968,624/x
  3. Step 3: Cross multiply
    630,176x = 968,624 × 968,624
  4. Step 4: Simplify right side
    630,176x = 938,232,453,376
  5. Step 5: Solve for x
    x = 938,232,453,376/630,176
  6. Step 6: Final answer
    x = 1,488,841.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.