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Finding the Third Proportional to 578,772 and 896,076

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Solution

The third proportional to 578,772 and 896,076 is: 1,387,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,772 : 896,076 = 896,076 : x
  2. Step 2: Convert to fraction form
    578,772/896,076 = 896,076/x
  3. Step 3: Cross multiply
    578,772x = 896,076 × 896,076
  4. Step 4: Simplify right side
    578,772x = 802,952,197,776
  5. Step 5: Solve for x
    x = 802,952,197,776/578,772
  6. Step 6: Final answer
    x = 1,387,337.67

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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.