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Finding the Third Proportional to 528,602 and 805,294

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Solution

The third proportional to 528,602 and 805,294 is: 1,226,817.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,602 : 805,294 = 805,294 : x
  2. Step 2: Convert to fraction form
    528,602/805,294 = 805,294/x
  3. Step 3: Cross multiply
    528,602x = 805,294 × 805,294
  4. Step 4: Simplify right side
    528,602x = 648,498,426,436
  5. Step 5: Solve for x
    x = 648,498,426,436/528,602
  6. Step 6: Final answer
    x = 1,226,817.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.