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Finding the Third Proportional to 567,070 and 898,363

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Solution

The third proportional to 567,070 and 898,363 is: 1,423,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,070 : 898,363 = 898,363 : x
  2. Step 2: Convert to fraction form
    567,070/898,363 = 898,363/x
  3. Step 3: Cross multiply
    567,070x = 898,363 × 898,363
  4. Step 4: Simplify right side
    567,070x = 807,056,079,769
  5. Step 5: Solve for x
    x = 807,056,079,769/567,070
  6. Step 6: Final answer
    x = 1,423,203.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.