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Finding the Third Proportional to 596,848 and 925,528

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Solution

The third proportional to 596,848 and 925,528 is: 1,435,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,848 : 925,528 = 925,528 : x
  2. Step 2: Convert to fraction form
    596,848/925,528 = 925,528/x
  3. Step 3: Cross multiply
    596,848x = 925,528 × 925,528
  4. Step 4: Simplify right side
    596,848x = 856,602,078,784
  5. Step 5: Solve for x
    x = 856,602,078,784/596,848
  6. Step 6: Final answer
    x = 1,435,209.77

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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.