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Finding the Third Proportional to 374,656 and 714,752

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Solution

The third proportional to 374,656 and 714,752 is: 1,363,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,656 : 714,752 = 714,752 : x
  2. Step 2: Convert to fraction form
    374,656/714,752 = 714,752/x
  3. Step 3: Cross multiply
    374,656x = 714,752 × 714,752
  4. Step 4: Simplify right side
    374,656x = 510,870,421,504
  5. Step 5: Solve for x
    x = 510,870,421,504/374,656
  6. Step 6: Final answer
    x = 1,363,571.97

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.