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Finding the Third Proportional to 581,348 and 849,018

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Solution

The third proportional to 581,348 and 849,018 is: 1,239,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,348 : 849,018 = 849,018 : x
  2. Step 2: Convert to fraction form
    581,348/849,018 = 849,018/x
  3. Step 3: Cross multiply
    581,348x = 849,018 × 849,018
  4. Step 4: Simplify right side
    581,348x = 720,831,564,324
  5. Step 5: Solve for x
    x = 720,831,564,324/581,348
  6. Step 6: Final answer
    x = 1,239,931.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.