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Finding the Third Proportional to 345,199 and 714,363

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Solution

The third proportional to 345,199 and 714,363 is: 1,478,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,199 : 714,363 = 714,363 : x
  2. Step 2: Convert to fraction form
    345,199/714,363 = 714,363/x
  3. Step 3: Cross multiply
    345,199x = 714,363 × 714,363
  4. Step 4: Simplify right side
    345,199x = 510,314,495,769
  5. Step 5: Solve for x
    x = 510,314,495,769/345,199
  6. Step 6: Final answer
    x = 1,478,319.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.