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Finding the Third Proportional to 712,980 and 1,037,367

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Solution

The third proportional to 712,980 and 1,037,367 is: 1,509,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,980 : 1,037,367 = 1,037,367 : x
  2. Step 2: Convert to fraction form
    712,980/1,037,367 = 1,037,367/x
  3. Step 3: Cross multiply
    712,980x = 1,037,367 × 1,037,367
  4. Step 4: Simplify right side
    712,980x = 1,076,130,292,689
  5. Step 5: Solve for x
    x = 1,076,130,292,689/712,980
  6. Step 6: Final answer
    x = 1,509,341.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.