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Finding the Third Proportional to 295,562 and 640,516

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Solution

The third proportional to 295,562 and 640,516 is: 1,388,070.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,562 : 640,516 = 640,516 : x
  2. Step 2: Convert to fraction form
    295,562/640,516 = 640,516/x
  3. Step 3: Cross multiply
    295,562x = 640,516 × 640,516
  4. Step 4: Simplify right side
    295,562x = 410,260,746,256
  5. Step 5: Solve for x
    x = 410,260,746,256/295,562
  6. Step 6: Final answer
    x = 1,388,070.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.