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Finding the Third Proportional to 341,572 and 730,438

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Solution

The third proportional to 341,572 and 730,438 is: 1,562,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,572 : 730,438 = 730,438 : x
  2. Step 2: Convert to fraction form
    341,572/730,438 = 730,438/x
  3. Step 3: Cross multiply
    341,572x = 730,438 × 730,438
  4. Step 4: Simplify right side
    341,572x = 533,539,671,844
  5. Step 5: Solve for x
    x = 533,539,671,844/341,572
  6. Step 6: Final answer
    x = 1,562,012.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.