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Finding the Third Proportional to 342,602 and 753,547

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Solution

The third proportional to 342,602 and 753,547 is: 1,657,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,602 : 753,547 = 753,547 : x
  2. Step 2: Convert to fraction form
    342,602/753,547 = 753,547/x
  3. Step 3: Cross multiply
    342,602x = 753,547 × 753,547
  4. Step 4: Simplify right side
    342,602x = 567,833,081,209
  5. Step 5: Solve for x
    x = 567,833,081,209/342,602
  6. Step 6: Final answer
    x = 1,657,413.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.