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Finding the Third Proportional to 539,748 and 805,248

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Solution

The third proportional to 539,748 and 805,248 is: 1,201,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,748 : 805,248 = 805,248 : x
  2. Step 2: Convert to fraction form
    539,748/805,248 = 805,248/x
  3. Step 3: Cross multiply
    539,748x = 805,248 × 805,248
  4. Step 4: Simplify right side
    539,748x = 648,424,341,504
  5. Step 5: Solve for x
    x = 648,424,341,504/539,748
  6. Step 6: Final answer
    x = 1,201,346.45

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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.