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Finding the Third Proportional to 567,424.50 and 878,547

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Solution

The third proportional to 567,424.50 and 878,547 is: 1,360,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,424.50 : 878,547 = 878,547 : x
  2. Step 2: Convert to fraction form
    567,424.50/878,547 = 878,547/x
  3. Step 3: Cross multiply
    567,424.50x = 878,547 × 878,547
  4. Step 4: Simplify right side
    567,424.50x = 771,844,831,209
  5. Step 5: Solve for x
    x = 771,844,831,209/567,424.50
  6. Step 6: Final answer
    x = 1,360,259.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.