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Finding the Third Proportional to 550,134 and 841,547

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Solution

The third proportional to 550,134 and 841,547 is: 1,287,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,134 : 841,547 = 841,547 : x
  2. Step 2: Convert to fraction form
    550,134/841,547 = 841,547/x
  3. Step 3: Cross multiply
    550,134x = 841,547 × 841,547
  4. Step 4: Simplify right side
    550,134x = 708,201,353,209
  5. Step 5: Solve for x
    x = 708,201,353,209/550,134
  6. Step 6: Final answer
    x = 1,287,325.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.