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Finding the Third Proportional to 374,219 and 586,363

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Solution

The third proportional to 374,219 and 586,363 is: 918,771.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,219 : 586,363 = 586,363 : x
  2. Step 2: Convert to fraction form
    374,219/586,363 = 586,363/x
  3. Step 3: Cross multiply
    374,219x = 586,363 × 586,363
  4. Step 4: Simplify right side
    374,219x = 343,821,567,769
  5. Step 5: Solve for x
    x = 343,821,567,769/374,219
  6. Step 6: Final answer
    x = 918,771.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.