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Finding the Third Proportional to 460,095 and 702,597

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Solution

The third proportional to 460,095 and 702,597 is: 1,072,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,095 : 702,597 = 702,597 : x
  2. Step 2: Convert to fraction form
    460,095/702,597 = 702,597/x
  3. Step 3: Cross multiply
    460,095x = 702,597 × 702,597
  4. Step 4: Simplify right side
    460,095x = 493,642,544,409
  5. Step 5: Solve for x
    x = 493,642,544,409/460,095
  6. Step 6: Final answer
    x = 1,072,914.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.