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Finding the Third Proportional to 357,230.63 and 770,547

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Solution

The third proportional to 357,230.63 and 770,547 is: 1,662,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,230.63 : 770,547 = 770,547 : x
  2. Step 2: Convert to fraction form
    357,230.63/770,547 = 770,547/x
  3. Step 3: Cross multiply
    357,230.63x = 770,547 × 770,547
  4. Step 4: Simplify right side
    357,230.63x = 593,742,679,209
  5. Step 5: Solve for x
    x = 593,742,679,209/357,230.63
  6. Step 6: Final answer
    x = 1,662,071.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.