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Finding the Third Proportional to 623,328 and 1,365,312

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Solution

The third proportional to 623,328 and 1,365,312 is: 2,990,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,328 : 1,365,312 = 1,365,312 : x
  2. Step 2: Convert to fraction form
    623,328/1,365,312 = 1,365,312/x
  3. Step 3: Cross multiply
    623,328x = 1,365,312 × 1,365,312
  4. Step 4: Simplify right side
    623,328x = 1,864,076,857,344
  5. Step 5: Solve for x
    x = 1,864,076,857,344/623,328
  6. Step 6: Final answer
    x = 2,990,523.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.