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Finding the Third Proportional to 306,526 and 455,415

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Solution

The third proportional to 306,526 and 455,415 is: 676,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,526 : 455,415 = 455,415 : x
  2. Step 2: Convert to fraction form
    306,526/455,415 = 455,415/x
  3. Step 3: Cross multiply
    306,526x = 455,415 × 455,415
  4. Step 4: Simplify right side
    306,526x = 207,402,822,225
  5. Step 5: Solve for x
    x = 207,402,822,225/306,526
  6. Step 6: Final answer
    x = 676,623.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.