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Finding the Third Proportional to 497,402 and 750,832

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Solution

The third proportional to 497,402 and 750,832 is: 1,133,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,402 : 750,832 = 750,832 : x
  2. Step 2: Convert to fraction form
    497,402/750,832 = 750,832/x
  3. Step 3: Cross multiply
    497,402x = 750,832 × 750,832
  4. Step 4: Simplify right side
    497,402x = 563,748,692,224
  5. Step 5: Solve for x
    x = 563,748,692,224/497,402
  6. Step 6: Final answer
    x = 1,133,386.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.