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Finding the Third Proportional to 294,047 and 432,459

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Solution

The third proportional to 294,047 and 432,459 is: 636,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,047 : 432,459 = 432,459 : x
  2. Step 2: Convert to fraction form
    294,047/432,459 = 432,459/x
  3. Step 3: Cross multiply
    294,047x = 432,459 × 432,459
  4. Step 4: Simplify right side
    294,047x = 187,020,786,681
  5. Step 5: Solve for x
    x = 187,020,786,681/294,047
  6. Step 6: Final answer
    x = 636,023.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.