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Finding the Third Proportional to 306,492 and 712,224

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Solution

The third proportional to 306,492 and 712,224 is: 1,655,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,492 : 712,224 = 712,224 : x
  2. Step 2: Convert to fraction form
    306,492/712,224 = 712,224/x
  3. Step 3: Cross multiply
    306,492x = 712,224 × 712,224
  4. Step 4: Simplify right side
    306,492x = 507,263,026,176
  5. Step 5: Solve for x
    x = 507,263,026,176/306,492
  6. Step 6: Final answer
    x = 1,655,061.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.