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Finding the Third Proportional to 500,111 and 714,646

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Solution

The third proportional to 500,111 and 714,646 is: 1,021,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,111 : 714,646 = 714,646 : x
  2. Step 2: Convert to fraction form
    500,111/714,646 = 714,646/x
  3. Step 3: Cross multiply
    500,111x = 714,646 × 714,646
  4. Step 4: Simplify right side
    500,111x = 510,718,905,316
  5. Step 5: Solve for x
    x = 510,718,905,316/500,111
  6. Step 6: Final answer
    x = 1,021,211.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.