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Finding the Third Proportional to 374,155 and 570,572

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Solution

The third proportional to 374,155 and 570,572 is: 870,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,155 : 570,572 = 570,572 : x
  2. Step 2: Convert to fraction form
    374,155/570,572 = 570,572/x
  3. Step 3: Cross multiply
    374,155x = 570,572 × 570,572
  4. Step 4: Simplify right side
    374,155x = 325,552,407,184
  5. Step 5: Solve for x
    x = 325,552,407,184/374,155
  6. Step 6: Final answer
    x = 870,100.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.