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Finding the Third Proportional to 710,688 and 1,160,365

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Solution

The third proportional to 710,688 and 1,160,365 is: 1,894,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,688 : 1,160,365 = 1,160,365 : x
  2. Step 2: Convert to fraction form
    710,688/1,160,365 = 1,160,365/x
  3. Step 3: Cross multiply
    710,688x = 1,160,365 × 1,160,365
  4. Step 4: Simplify right side
    710,688x = 1,346,446,933,225
  5. Step 5: Solve for x
    x = 1,346,446,933,225/710,688
  6. Step 6: Final answer
    x = 1,894,568.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.