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Finding the Third Proportional to 272,776.50 and 583,461

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Solution

The third proportional to 272,776.50 and 583,461 is: 1,248,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,776.50 : 583,461 = 583,461 : x
  2. Step 2: Convert to fraction form
    272,776.50/583,461 = 583,461/x
  3. Step 3: Cross multiply
    272,776.50x = 583,461 × 583,461
  4. Step 4: Simplify right side
    272,776.50x = 340,426,738,521
  5. Step 5: Solve for x
    x = 340,426,738,521/272,776.50
  6. Step 6: Final answer
    x = 1,248,006.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.