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Finding the Third Proportional to 593,808 and 917,388

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Solution

The third proportional to 593,808 and 917,388 is: 1,417,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,808 : 917,388 = 917,388 : x
  2. Step 2: Convert to fraction form
    593,808/917,388 = 917,388/x
  3. Step 3: Cross multiply
    593,808x = 917,388 × 917,388
  4. Step 4: Simplify right side
    593,808x = 841,600,742,544
  5. Step 5: Solve for x
    x = 841,600,742,544/593,808
  6. Step 6: Final answer
    x = 1,417,294.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.