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Finding the Third Proportional to 430,038 and 849,492

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Solution

The third proportional to 430,038 and 849,492 is: 1,678,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,038 : 849,492 = 849,492 : x
  2. Step 2: Convert to fraction form
    430,038/849,492 = 849,492/x
  3. Step 3: Cross multiply
    430,038x = 849,492 × 849,492
  4. Step 4: Simplify right side
    430,038x = 721,636,658,064
  5. Step 5: Solve for x
    x = 721,636,658,064/430,038
  6. Step 6: Final answer
    x = 1,678,076.49

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.