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Finding the Third Proportional to 328,258,514 and 710,989,852

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Solution

The third proportional to 328,258,514 and 710,989,852 is: 1,539,964,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,258,514 : 710,989,852 = 710,989,852 : x
  2. Step 2: Convert to fraction form
    328,258,514/710,989,852 = 710,989,852/x
  3. Step 3: Cross multiply
    328,258,514x = 710,989,852 × 710,989,852
  4. Step 4: Simplify right side
    328,258,514x = 505,506,569,646,981,888
  5. Step 5: Solve for x
    x = 505,506,569,646,981,888/328,258,514
  6. Step 6: Final answer
    x = 1,539,964,838.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.