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Finding the Third Proportional to 567,572 and 846,438

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Solution

The third proportional to 567,572 and 846,438 is: 1,262,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,572 : 846,438 = 846,438 : x
  2. Step 2: Convert to fraction form
    567,572/846,438 = 846,438/x
  3. Step 3: Cross multiply
    567,572x = 846,438 × 846,438
  4. Step 4: Simplify right side
    567,572x = 716,457,287,844
  5. Step 5: Solve for x
    x = 716,457,287,844/567,572
  6. Step 6: Final answer
    x = 1,262,319.65

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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.