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Finding the Third Proportional to 295,316 and 632,593

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Solution

The third proportional to 295,316 and 632,593 is: 1,355,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,316 : 632,593 = 632,593 : x
  2. Step 2: Convert to fraction form
    295,316/632,593 = 632,593/x
  3. Step 3: Cross multiply
    295,316x = 632,593 × 632,593
  4. Step 4: Simplify right side
    295,316x = 400,173,903,649
  5. Step 5: Solve for x
    x = 400,173,903,649/295,316
  6. Step 6: Final answer
    x = 1,355,070.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.