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Finding the Third Proportional to 306,762 and 716,460

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Solution

The third proportional to 306,762 and 716,460 is: 1,673,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,762 : 716,460 = 716,460 : x
  2. Step 2: Convert to fraction form
    306,762/716,460 = 716,460/x
  3. Step 3: Cross multiply
    306,762x = 716,460 × 716,460
  4. Step 4: Simplify right side
    306,762x = 513,314,931,600
  5. Step 5: Solve for x
    x = 513,314,931,600/306,762
  6. Step 6: Final answer
    x = 1,673,332.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.